16597
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 18976
- Proper Divisor Sum (Aliquot Sum)
- 2379
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 14220
- Möbius Function
- 1
- Radical
- 16597
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 128
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = A259095(2n,n).at n=22A005575
- Numbers whose base-4 representation contains exactly three 0's and four 1's.at n=27A045032
- Integers n > 10553 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 10553.at n=10A063061
- Number of configurations of the 5 X 2 variant of Sam Loyd's sliding block 15-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners.at n=23A090036
- Main diagonal of triangle A092565, in which the n-th row polynomial equals the numerator of the n-th convergent of the continued fraction [1 + x + x^2; 1 + x + x^2, 1 + x + x^2, ...].at n=10A092566
- Years >= 1801 in which Christmas falls in Sukkot.at n=22A222419
- Number of partitions p of n such that median(p) <= mean(p).at n=35A240218
- Number of n-node rooted identity trees with thinning limbs and root outdegree (branching factor) 5.at n=11A245124
- Expansion of e.g.f. exp(x*exp(x)/(1 - x)).at n=6A318364
- Number of partitions of the n-th nonprime number into a nonprime number of nonprime parts.at n=47A344789
- Number of unlabeled trees on n nodes with maximum degree three and three vertices of degree three.at n=17A355024